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Full text of "Treatise On Analysis Vol-Ii"

INDEX       451

Orbit  of a point under the action of a    Quasi-nilpotent element in a Banach alge-

monoid: 12.15, prob. 11
Orbit space: 12.10
Orthogonal projector: 15.5
Orthornormal sequence of functions: 13.11,.

prob.7
Outer measure of a set: 13.5

bra: 15.3, prob. 5

Quasi-regular point (for a measure preserv-
ing transformation): 13.11, prob. 11

Quasi-representative measure: 15.3, prob. 9

Quotient group: 12.12

Packing (G-): 14.1, prob. 6

j?-adic integers: 12.9, prob. 4

,p-adic numbers: 14.3, prob. 6

p-adic solenoid: 12.9, prob. 4

Parallelotope: 14.3

Partition of unity: 12.6

Patching condition: 12.2

Patching together of topological spaces:

12.2

Plancherel-Godement theorem: 15,9
Poincar6's recurrence theorem: 13.9, prob.

11

Point-spectrum: 15.12
Polar decomposition of an operator: 15.11,

prob. 6

Positive hermitian operator: 15.13, prob. 14
Positive linear form on an algebra with

involution: 15.6
Positive measure: 13.2
Positive self-adjoint operator: 15.11
Potential: 13.13, prob. 2
Principle of domination: 13.13, prob. 2
Product group: 12.8

Product measure: 13.21 and 13.21, prob. 9
Product space, topology: 12.5 and 12.5,

prob. 3

Product of topological vector spaces: 12.13
Proper mapping: 12.7, prob. 2
Properly (group acting): 12.10, prob. 1
Pseudo-distance: 12,4
Pure potential: 13.13, prob. 2

Quadrable set: 13.9, prob. 7

Quasi-ergodic set (with respect to an
ergodic measure): 13.11, prob. 11

Quasi-invariant measure on a locally com-
pact group: 14.3, prob. 4

Rademacher functions: 13.21, prob. 10
Rademacher-Kolmogoroff theorem: 13.21,

prob. 12
Rademacher-Menchoff   theorem:    13.11,

prob. 8

Radical of an algebra: 15.2, prob. 7
Real measure: 13.2
Real-valued function: 12.7
Reducible indempotent: 15.8
Regular point (for a measure-preserving

transformation): 13.11, prob. 11
Regular value of an element of a normed

algebra: 15.2
Regularization of a function or a measure:

14.11

Relative minimum of a function: 12.7
Relatively invariant measure: 14.4, prob. 1
Representation of an algebra with involu-
tion: 15.5

Representative measure: 15.3, prob. 9
Residual spectrum: 15.12
Restriction of a measure: 13.1
Reversible vector: 12.15, prob. 11
Riemann sums: 13.9, prob. 7
Riesz (theorem of F. and M.): 15.3, prob.

14

Riesz-Thorin theorem: 13.17, prob. 7
Right-invariant function on a group: 12.9
Rokhlin's theorem: 13.18, prob. 9
Rotational mean: 14.3, prob. 9

Saturation of a set with respect to the action

of a group: 12.10
Scalarly analytic, continuous, differentiable:

12.15

Scalarly integrable: 13.10
Self-adjoint element or subset of an algebra

with involution: 15.4rob. 11